Worksheet: Union of Sets

In this worksheet, we will practice finding the union between two sets or more.

Q1:

Find { 5 } { 4 5 } .

  • A { 5 4 5 }
  • B { 5 , 4 5 }
  • C { 5 , 4 }
  • D { 5 }
  • E { 4 }

Q2:

What is { 9 } { 9 } ?

  • A { 9 , 9 9 }
  • B
  • C { 9 }
  • D { 9 9 }

Q3:

Find { 0 , 1 , 3 , 4 } .

  • A { 1 3 4 }
  • B { 0 }
  • C { 0 , 1 , 3 , 4 }
  • D

Q4:

Given that { 6 , 7 } { 1 , 8 } = { 7 , 8 , 𝑥 , 6 } , what is the value of 𝑥 ?

Q5:

What is { 4 7 } { 7 4 } ?

  • A { 4 , 7 }
  • B { 4 , 7 , 4 7 }
  • C { 4 , 7 , 7 4 }
  • D { 4 , 7 , 4 7 , 7 4 }
  • E { 4 7 , 7 4 }

Q6:

Find { 0 , 1 , 6 , 1 0 } { 3 , 7 , 8 } .

  • A { 0 , 1 , 3 , 6 , 7 , 8 }
  • B { 0 , 1 , 6 , 7 , 8 , 1 0 }
  • C { 3 , 8 , 1 6 }
  • D { 0 , 1 , 3 , 6 , 7 , 8 , 1 0 }

Q7:

What is { 3 , 6 , 9 } { 6 , 3 9 } ?

  • A { 3 , 6 , 9 , 3 6 , 6 3 }
  • B { 9 }
  • C { 3 , 6 , 6 3 }
  • D { 3 , 6 , 9 }
  • E { 3 , 6 , 9 , 6 3 }

Q8:

If 𝑋 = { 5 , 7 , 4 , 3 } and 𝑌 = { 4 , 6 , 8 , 5 , 3 } , what is 𝑋 𝑌 ?

  • A { 5 , 4 , 3 }
  • B { 5 , 7 , 4 , 3 , 6 , 8 }
  • C { 7 , 6 , 8 }
  • D { 5 , 7 , 4 , 3 }

Q9:

If 𝑋 = { 1 , 4 , 3 } , what is 𝑋 𝑋 ?

  • A { 1 , 4 }
  • B { 3 }
  • C { 1 , 4 , 3 }
  • D

Q10:

Find { 𝑓 , 𝑖 , 𝑧 } { 𝑖 , , 𝑎 } .

  • A { 𝑖 , 𝑓 , 𝑎 , , 𝑑 }
  • B { 𝑖 }
  • C { 𝑓 , 𝑎 , , 𝑧 }
  • D { 𝑖 , 𝑓 , 𝑎 , , 𝑧 }

Q11:

Given that 𝑋 = { 6 , 5 , 7 } and 𝑌 = { 8 , 5 , 3 , 6 } , find 𝑋 .

  • A { 6 , 5 , 7 , 8 , 3 }
  • B { 8 , 5 , 3 , 6 }
  • C { 6 , 5 , 7 }
  • D

Q12:

Given that { 2 , 7 } { 1 , 𝑥 , 6 } = { 6 , 2 , 1 , 𝑥 } , what is the value of 𝑥 ?

Q13:

Given that { 2 1 } { 𝑥 } = { 2 1 , 1 5 } , what is the value of 𝑥 ?

Q14:

Given that { 8 , 1 } { 𝑥 , 2 } = { 8 , 2 , 1 } , what is the value of 𝑥 ?

  • A
  • B81
  • C18
  • D 8 or 1

Q15:

Find the union set of { 6 , 1 , 3 , 5 } and the set of digits in the number 46,786.

  • A { 5 , 8 , 7 , 4 , 9 , 1 , 3 }
  • B { 6 }
  • C { 6 , 1 , 3 , 5 , 4 , 7 , 8 }
  • D { 1 , 3 , 5 , 4 , 7 , 8 }
  • E { 1 , 3 , 5 , 4 , 8 }

Q16:

Use or to fill in the gap: If 𝑋 = { 1 , 2 , 7 , 5 } and 𝑌 = { 7 , 4 , 2 , 8 } , then { 5 , 7 } 𝑋 𝑌 .

  • A
  • B

Q17:

Find { 6 , 8 , 1 0 } { 4 , 6 } { 0 , 1 0 } .

  • A { 6 , 8 , 1 0 }
  • B { 0 , 4 , 8 , 1 0 }
  • C { 0 , 4 , 6 , 8 , 1 0 }
  • D { 0 , 4 , 6 , 1 0 }

Q18:

If 𝑋 = { 4 , 0 , 1 } , 𝑌 = { 6 , 7 , 8 } , and 𝑍 = { 5 , 0 , 3 , 2 } , what is ( 𝑋 𝑌 ) 𝑍 ?

  • A { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 }
  • B { 0 }
  • C { 0 , 1 , 4 , 6 , 7 , 8 }
  • D { 0 , 2 , 3 , 5 , 6 , 7 , 8 }

Q19:

Use or to fill in the gap: If 𝑋 = { 7 , 2 , 1 , 8 } and 𝑌 = { 4 , 2 , 1 } , then 2 2 𝑋 𝑌 .

  • A
  • B

Q20:

Given that { 9 , 1 4 } { 5 𝑥 , 5 } = { 9 , 𝑥 , 1 4 , 2 5 } , what is the value of 𝑥 ?

Q21:

Given that { 2 , 𝑥 } { 1 2 , 2 } = { 1 2 , 2 , 1 1 } , what is the value of 𝑥 ?

Q22:

Use or to fill in the gap: If 𝑋 = { 6 , 4 , 8 } and 𝑌 = { 8 , 6 , 4 , 5 } , then 1 𝑋 𝑌 .

  • A
  • B

Q23:

Given that { 9 , 𝑥 } { 3 𝑥 , 𝑥 + 5 } = { 3 , 9 , 8 } , what is the value of 𝑥 ?

Q24:

What is ?

  • A
  • B
  • C
  • D

Q25:

Given that { 𝑘 , 1 } { 8 , 5 , 6 , 2 } = { 2 , 8 , 9 , 6 , 1 , 5 } , determine the value of 𝑘 .

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